Electromagnetic scattering from a dielectric cylinder buried beneath a slightly rough surface

Abstract

An analytical solution is presented for the electromagnetic scattering from a dielectric circular cylinder embedded in a dielectric half-space with a slightly rough interface. The solution utilizes the spectral (plane-wave) representation of the fields and accounts for all the multiple interactions between the rough interface and the buried cylinder. First-order coefficients from the small perturbation method are used for computation of the scattered fields from the rough surface. The derivation includes both TM and TE polarizations and can be easily extended for other cylindrical buried objects (e.g., cylindrical shell, metallic cylinder). Several scattering scenarios are examined utilizing the new solution for a dielectric cylinder beneath a flat, sinusoidal, and arbitrary rough surface profile. Results indicate that the scattering pattern of a buried object below a slightly rough surface differs from the flat surface case only when the surface roughness spectrum contains a limited range of spatial frequencies. Furthermore, the illuminated area of the incident wave is seen to be a critical factor in the visibility of a buried object below a rough surface.

Analysis of Scattering From Three-Dimensional Objects Buried Below a Random Rough Surface by Monte-Carlo MPSTD Method

“…This numerical example demonstrates that the Monte-Carlo MPSTD method presented can solve the scattering problem involving a pretty rough random rough surface with its rms slope up to s = 1.7678. For comparison, in the literature, for examples, a rough surface with l c = 0.2 m and h rms = 0.1 m (s = 0.707) is considered in [17]; l c = 0.2λ and h rms = 0.01λ (s = 0.0707) are used in [4].…”

“…For analyzing the scattering of objects near a random rough surface, analytic methods, numerical and hybrid techniques have been developed. SPM was employed to study scattering by a cylinder buried beneath a slightly rough surface in frequency domain [4,5]. As pointed out in [4], "Analytical solutions, unlike numerical techniques, are unfortunately limited to canonical geometries or small perturbations from a canonical geometry.…”

“…SPM was employed to study scattering by a cylinder buried beneath a slightly rough surface in frequency domain [4,5]. As pointed out in [4], "Analytical solutions, unlike numerical techniques, are unfortunately limited to canonical geometries or small perturbations from a canonical geometry. Nevertheless, analytical solutions are valuable in that they do not require a discretization of the geometry and can provide a benchmark for comparison with numerical solutions."…”

Bistatic Scattering From Two-Dimensional Dielectric Ocean Rough Surface With a Pec Object Partially Embedded by Using the G-SMCG Method

“…Hence, solutions for the electromagnetic scattering from partially buried objects are needed. However, more research has focused on the EM scattering from objects located entirely above or below a rough surface ( [1][2][3][4][5][6][7][8][9][10][11][12][13][14]), and there are few publications on electromagnetic scattering from the partially embedded objects in dielectric rough surface between two media. For analyzing the electromagnetic scattering from a ship on ocean surface, not only should the electromagnetic scattering of targets and the rough surface be taken into account respectively, but also the coupling scattering field between them should be computed.…”

“…In past researches, in order to use analytical method, the interface of the ground and ocean surface was usually assumed to be a planar interface or rough surface with small roughness limit ( [10][11][12][13][14]). The advantage of the analytical method is the computational simplicity, but it only adapts to canonical geometries and a small rms rough surface height.…”